-16*t^2+40t+125=0

Simple and best practice solution for -16*t^2+40t+125=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -16*t^2+40t+125=0 equation:


Simplifying
-16t2 + 40t + 125 = 0

Reorder the terms:
125 + 40t + -16t2 = 0

Solving
125 + 40t + -16t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
-16 the coefficient of the squared term: 

Divide each side by '-16'.
-7.8125 + -2.5t + t2 = 0

Move the constant term to the right:

Add '7.8125' to each side of the equation.
-7.8125 + -2.5t + 7.8125 + t2 = 0 + 7.8125

Reorder the terms:
-7.8125 + 7.8125 + -2.5t + t2 = 0 + 7.8125

Combine like terms: -7.8125 + 7.8125 = 0.0000
0.0000 + -2.5t + t2 = 0 + 7.8125
-2.5t + t2 = 0 + 7.8125

Combine like terms: 0 + 7.8125 = 7.8125
-2.5t + t2 = 7.8125

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = 7.8125 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = 7.8125 + 1.5625

Combine like terms: 7.8125 + 1.5625 = 9.375
1.5625 + -2.5t + t2 = 9.375

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = 9.375

Calculate the square root of the right side: 3.061862178

Break this problem into two subproblems by setting 
(t + -1.25) equal to 3.061862178 and -3.061862178.

Subproblem 1

t + -1.25 = 3.061862178 Simplifying t + -1.25 = 3.061862178 Reorder the terms: -1.25 + t = 3.061862178 Solving -1.25 + t = 3.061862178 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = 3.061862178 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = 3.061862178 + 1.25 t = 3.061862178 + 1.25 Combine like terms: 3.061862178 + 1.25 = 4.311862178 t = 4.311862178 Simplifying t = 4.311862178

Subproblem 2

t + -1.25 = -3.061862178 Simplifying t + -1.25 = -3.061862178 Reorder the terms: -1.25 + t = -3.061862178 Solving -1.25 + t = -3.061862178 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = -3.061862178 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = -3.061862178 + 1.25 t = -3.061862178 + 1.25 Combine like terms: -3.061862178 + 1.25 = -1.811862178 t = -1.811862178 Simplifying t = -1.811862178

Solution

The solution to the problem is based on the solutions from the subproblems. t = {4.311862178, -1.811862178}

See similar equations:

| 5x+35x-7=10(4x+8) | | -13=x-4x-10 | | 4+7x=-x-60 | | 16*t^2+40t+125=0 | | -2-13.8x=8x(6x+1) | | -x+4+7x=76 | | 100-25x=50 | | 13x+187x-18=20(10x+11) | | 4x^2-48x-4=0 | | (w+8)(w+8)= | | (27x^3)-8=0 | | (-3x^4)(-7x^2)= | | 3(2x-y)=9 | | 5(3x^7)= | | -5x-y=-12 | | -3m+m=102 | | -5(-7x+10)=265 | | Ln(x^4)=ln(10) | | Log[2](-5x+3)=-1 | | 3(M+4)+5M=-20 | | X/-4=-1-(8) | | -7x+9+8x=3+x+6 | | 2tg^2x+3tg=9 | | v=7i-24j | | 4(m+6)-11=25 | | 4m+1-1m=19 | | 16x^3+2x-18=0 | | 10+.05x=22 | | 5x+4x-6=7x-9x | | 3n+7=43-n | | 11781x-3661=99(119x-39) | | -3(4m+3)4(6m+1)=43 |

Equations solver categories